-
1
-
-
85039202511
-
-
P. BELKALE, Geometric proofs of Horn and saturation conjectures, preprint 2002; math.AG/0208107v2.
-
[Bel] P. BELKALE, Geometric proofs of Horn and saturation conjectures, preprint 2002; math.AG/0208107v2.
-
-
-
-
2
-
-
0043230751
-
Enumerative geometry for plane cubic curves in characteristic 2
-
[Ber] A. BERG, Enumerative geometry for plane cubic curves in characteristic 2, Compositio Math. 111 (1998), 123-147.
-
(1998)
Compositio Math
, vol.111
, pp. 123-147
-
-
BERG, A.1
-
3
-
-
84860615948
-
n/B and other permutation array schemes, preprint
-
math.AG/0502468
-
n/B and other permutation array schemes, preprint, 2005, math.AG/0502468.
-
(2005)
-
-
BILLEY, S.1
VAKIL, R.2
-
4
-
-
0001151319
-
The distribution of Galois groups and Hilbert's irreducibility theorem
-
[C] S. D. COHEN, The distribution of Galois groups and Hilbert's irreducibility theorem, Proc. London Math. Soc. 43 (1981), 227-250.
-
(1981)
Proc. London Math. Soc
, vol.43
, pp. 227-250
-
-
COHEN, S.D.1
-
5
-
-
0003404450
-
-
John Wiley, New York
-
[D] L. DICKSON, H. F. BLICHFELDT, and G. A. MILLER, Theory and Applications of Finite Groups, John Wiley, New York, 1916.
-
(1916)
Theory and Applications of Finite Groups
-
-
DICKSON, L.1
BLICHFELDT, H.F.2
MILLER, G.A.3
-
6
-
-
0038632021
-
An effective version of Hilbert's irreducibility theorem
-
Paris
-
[E] T. EKEDAHL, An effective version of Hilbert's irreducibility theorem, Sém. de Théorie des Nombres (Paris 1988-1989),
-
(1988)
Sém. de Théorie des Nombres
-
-
EKEDAHL, T.1
-
7
-
-
0038632021
-
-
Birkhäuser Boston, Boston, MA
-
Progr. Math. 91, 241-249, Birkhäuser Boston, Boston, MA, 1990.
-
(1990)
Progr. Math
, vol.91
, pp. 241-249
-
-
-
8
-
-
0036000533
-
-
A. EREMENKO and A. GABRIELOV, Rational functions with real critical points and the B. and M. Shapiro conjecture in real enumerative geometry, Ann. of Math. 155 (2002), 105-129.
-
[EG] A. EREMENKO and A. GABRIELOV, Rational functions with real critical points and the B. and M. Shapiro conjecture in real enumerative geometry, Ann. of Math. 155 (2002), 105-129.
-
-
-
-
10
-
-
0009304356
-
Introduction to Intersection Theory in Algebraic Geometry
-
F1, A. M. S, Providence, RI
-
[F1] W. FULTON, Introduction to Intersection Theory in Algebraic Geometry, Regional Conf. Series in Math. 54, A. M. S., Providence, RI, 1984.
-
(1984)
Regional Conf. Series in Math
, vol.54
-
-
FULTON, W.1
-
11
-
-
0004233493
-
-
F2] _, Springer-Verlag, New York
-
[F2] _, Intersection Theory, Springer-Verlag, New York, 1980.
-
(1980)
Intersection Theory
-
-
-
12
-
-
0003229319
-
Schubert varieties and degeneracy loci
-
Springer-Verlag, New York
-
[FP] W. FULTON and P. PRAGACZ, Schubert varieties and degeneracy loci, Lecture Notes in Math. 1689, Springer-Verlag, New York, 1998.
-
(1998)
Lecture Notes in Math
, vol.1689
-
-
FULTON, W.1
PRAGACZ, P.2
-
13
-
-
84972568754
-
Galois groups of enumerative problems
-
[H] J. HARRIS, Galois groups of enumerative problems, Duke Math. J. 46 (1979), 685-724.
-
(1979)
Duke Math. J
, vol.46
, pp. 685-724
-
-
HARRIS, J.1
-
14
-
-
0032346893
-
Numerical Schubert calculus
-
[HSS] B. HUBER, F. SOTTILE, and B. STURMFELS, Numerical Schubert calculus, J. Symbolic Comput. 26 (1998), 767-788.
-
(1998)
J. Symbolic Comput
, vol.26
, pp. 767-788
-
-
HUBER, B.1
SOTTILE, F.2
STURMFELS, B.3
-
15
-
-
0033696829
-
Pieri homotopies for problems in enumerative geometry applied to pole placement in linear systems control
-
[HV] B. HUBER and J. VERSCHELDE, Pieri homotopies for problems in enumerative geometry applied to pole placement in linear systems control, SIAM J. Control Optim. 38 (2000), 1265-1287.
-
(2000)
SIAM J. Control Optim
, vol.38
, pp. 1265-1287
-
-
HUBER, B.1
VERSCHELDE, J.2
-
17
-
-
0001274052
-
The transversality of a general translate
-
Kl1
-
[Kl1] S. KLEIMAN, The transversality of a general translate, Compositio Math. 28 (1974), 287-297.
-
(1974)
Compositio Math
, vol.28
, pp. 287-297
-
-
KLEIMAN, S.1
-
18
-
-
85039182817
-
-
[Kl2] _, Intersection theory and enumerative geometry: a decade in review, in Algebraic Geometry (Bowdoin, 1985), Proc. Sympos. Pure Math. 46, Part 2, 321-370, Amer. Math. Soc., Providence, RI, 1987.
-
[Kl2] _, Intersection theory and enumerative geometry: a decade in review, in Algebraic Geometry (Bowdoin, 1985), Proc. Sympos. Pure Math. 46, Part 2, 321-370, Amer. Math. Soc., Providence, RI, 1987.
-
-
-
-
19
-
-
85039201928
-
-
personal communication
-
[K] A. KNUTSON, personal communication.
-
-
-
KNUTSON, A.1
-
20
-
-
0345767559
-
The honeycomb model of GL(n) tensor products II: Puzzles determine facets of the Littlewood-Richardson cone
-
[KTW] A. KNUTSON, T. TAO, and C. WOODWARD, The honeycomb model of GL(n) tensor products II: Puzzles determine facets of the Littlewood-Richardson cone, J. Amer. Math. Soc. 17 (2004), 19-48.
-
(2004)
J. Amer. Math. Soc
, vol.17
, pp. 19-48
-
-
KNUTSON, A.1
TAO, T.2
WOODWARD, C.3
-
21
-
-
33846473708
-
Deformations of determinental schemes
-
[L] D. LAKSOV, Deformations of determinental schemes, Compositio Math. 30 (1975), 287-297.
-
(1975)
Compositio Math
, vol.30
, pp. 287-297
-
-
LAKSOV, D.1
-
22
-
-
85039240706
-
-
[LSp1] D. LAKSOV and R. SPEISER, Transversality criteria in any characteristic, in Enumerative Geometry (Sitges, 1987), Lectures Notes in Math. 1436, 139-150, Springer-Verlag, New York, 1990.
-
[LSp1] D. LAKSOV and R. SPEISER, Transversality criteria in any characteristic, in Enumerative Geometry (Sitges, 1987), Lectures Notes in Math. 1436, 139-150, Springer-Verlag, New York, 1990.
-
-
-
-
23
-
-
0013526549
-
-
[LSp2] _, Transversality criteria in any characteristic, Pacific J. Math. 156 (1992), 307-328.
-
[LSp2] _, Transversality criteria in any characteristic, Pacific J. Math. 156 (1992), 307-328.
-
-
-
-
26
-
-
85039221624
-
Enumerative geometry for real varieties, in Algebraic Geometry (Santa Cruz, 1995) (J
-
S1, Kollár et al. eds, A. M. S, Providence, RI
-
[S1] F. SOTTILE, Enumerative geometry for real varieties, in Algebraic Geometry (Santa Cruz, 1995) (J. Kollár et al. eds.), Proc. Sympos. Pure Math. 56, Part 2, A. M. S., Providence, RI, 1997.
-
(1997)
Proc. Sympos. Pure Math
, vol.56
, Issue.PART 2
-
-
SOTTILE, F.1
-
27
-
-
0002925584
-
Enumerative geometry for the real Grassmannian of lines in projective space
-
S2] _
-
[S2] _, Enumerative geometry for the real Grassmannian of lines in projective space, Duke Math. J . 87 (1997), 59-85.
-
(1997)
Duke Math. J
, vol.87
, pp. 59-85
-
-
-
28
-
-
0031142016
-
-
[S3] _, Real enumerative geometry and effective algebraic equivalence, J. Pure and Appl. Alg. 117 and 118 (1997), 601-615.
-
[S3] _, Real enumerative geometry and effective algebraic equivalence, J. Pure and Appl. Alg. 117 and 118 (1997), 601-615.
-
-
-
-
29
-
-
0031350627
-
-
[S4] _, Pieri's formula via explicit rational equivalence, Canadian J. Math. 46 (1997), 1281-1298.
-
[S4] _, Pieri's formula via explicit rational equivalence, Canadian J. Math. 46 (1997), 1281-1298.
-
-
-
-
30
-
-
84897659949
-
-
S5] _, The special Schubert calculus is real
-
[S5] _, The special Schubert calculus is real, ERA of the Amer. Math. Soc. 5 (1999), 35-39.
-
(1999)
ERA of the Amer. Math. Soc
, vol.5
, pp. 35-39
-
-
-
31
-
-
0002321615
-
-
S6] _, Some real and unreal enumerative geometry for flag manifolds, Fulton 48 2000
-
[S6] _, Some real and unreal enumerative geometry for flag manifolds, Michigan Math. J . (Fulton volume) 48 (2000), 573-592.
-
Michigan Math. J
, pp. 573-592
-
-
-
32
-
-
0742269313
-
-
S7] _, Elementary transversality in the Schubert calculus in any characteristic
-
[S7] _, Elementary transversality in the Schubert calculus in any characteristic, Michigan Math. J . 56 (2003), 651-666.
-
(2003)
Michigan Math. J
, vol.56
, pp. 651-666
-
-
-
33
-
-
85039235101
-
Effective solutions to all Schubert problems
-
work in progress
-
[SVV] F. SOTTILE, R. VAKIL, and J. VERSCHELDE, Effective solutions to all Schubert problems, work in progress.
-
-
-
SOTTILE, F.1
VAKIL, R.2
VERSCHELDE, J.3
-
34
-
-
85039229913
-
-
R. SPEISER, Transversality theorems for families of maps, in Algebraic Geometry (Sundance 1986) (A. Holme and R. Speiser, eds.) Lectures Notes in Math. 1311, 235-252, Springer-Verlag, New York, 1988.
-
[Sp] R. SPEISER, Transversality theorems for families of maps, in Algebraic Geometry (Sundance 1986) (A. Holme and R. Speiser, eds.) Lectures Notes in Math. 1311, 235-252, Springer-Verlag, New York, 1988.
-
-
-
-
35
-
-
0010294191
-
Conics in characteristic 2
-
[Vn] I. VAINSENCHER, Conics in characteristic 2, Compositio Math. 36 (1978), 101-112.
-
(1978)
Compositio Math
, vol.36
, pp. 101-112
-
-
VAINSENCHER, I.1
-
36
-
-
0034344350
-
The enumerative geometry of rational and elliptic curves in projective space
-
V1
-
[V1] R. VAKIL, The enumerative geometry of rational and elliptic curves in projective space, J. Reine Angew. Math. (Crelle) 529 (2000), 101-153.
-
(2000)
J. Reine Angew. Math. (Crelle)
, vol.529
, pp. 101-153
-
-
VAKIL, R.1
-
37
-
-
33846530678
-
-
V2] _, A geometric Littlewood-Richardson rule
-
[V2] _, A geometric Littlewood-Richardson rule, Ann. of Math. 164 (2006), 371-422.
-
(2006)
Ann. of Math
, vol.164
, pp. 371-422
-
-
-
38
-
-
85039198045
-
-
[V3] _, A conjectural geometric Littlewood-Richardson rule for the equivariant K-theory of the flag variety, in preparation.
-
[V3] _, A conjectural geometric Littlewood-Richardson rule for the equivariant K-theory of the flag variety, in preparation.
-
-
-
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