On complete conditions in enumerative geometry

Lecture Notes in Mathematics - Singularity Theory and its Applications ◽

10.1007/bfb0086386 ◽

1991 ◽

pp. 235-257

Author(s):

Ruud Pellikaan

Keyword(s):

Enumerative Geometry

Applications to $${\mathbb {A}}^1$$-enumerative geometry of the $${\mathbb {A}}^1$$-degree

Research in the Mathematical Sciences ◽

10.1007/s40687-021-00255-6 ◽

2021 ◽

Vol 8 (2) ◽

Author(s):

Sabrina Pauli ◽

Kirsten Wickelgren

Keyword(s):

Enumerative Geometry

Invariants of real rational symplectic 4-manifolds and lower bounds in real enumerative geometry

Comptes Rendus Mathematique ◽

10.1016/s1631-073x(03)00059-1 ◽

2003 ◽

Vol 336 (4) ◽

pp. 341-344 ◽

Cited By ~ 23

Author(s):

Jean-Yves Welschinger

Keyword(s):

Lower Bounds ◽

Enumerative Geometry

Applications of tropical geometry to enumerative geometry

Tropical Algebraic Geometry ◽

10.1007/978-3-0346-0048-4_3 ◽

2009 ◽

pp. 77-96

Keyword(s):

Tropical Geometry ◽

Enumerative Geometry

Piecewise polynomial functions, convex polytopes and enumerative geometry

Banach Center Publications ◽

10.4064/-36-1-25-44 ◽

1996 ◽

Vol 36 (1) ◽

pp. 25-44 ◽

Cited By ~ 6

Author(s):

Michel Brion

Keyword(s):

Convex Polytopes ◽

Enumerative Geometry ◽

Polynomial Functions ◽

Piecewise Polynomial ◽

Piecewise Polynomial Functions

Enumerative Geometry of Plane Curves

Notices of the American Mathematical Society ◽

10.1090/noti2094 ◽

2020 ◽

Vol 67 (06) ◽

pp. 1

Author(s):

Lucia Caporaso

Keyword(s):

Enumerative Geometry ◽

Plane Curves

Topological recursion in enumerative geometry and random matrices

Journal of Physics A Mathematical and Theoretical ◽

10.1088/1751-8113/42/29/293001 ◽

2009 ◽

Vol 42 (29) ◽

pp. 293001 ◽

Cited By ~ 36

Author(s):

Bertrand Eynard ◽

Nicolas Orantin

Keyword(s):

Random Matrices ◽

Enumerative Geometry ◽

Topological Recursion

Enumerative Geometry and Classical Algebraic Geometry

10.1007/978-1-4684-6726-0 ◽

1982 ◽

Cited By ~ 7

Keyword(s):

Algebraic Geometry ◽

Enumerative Geometry

From Enumerative Geometry to Solving Systems of Polynomial Equations

Computations in Algebraic Geometry with Macaulay 2 - Algorithms and Computation in Mathematics ◽

10.1007/978-3-662-04851-1_6 ◽

2002 ◽

pp. 101-129 ◽

Cited By ~ 7

Author(s):

Frank Sottile

Keyword(s):

Enumerative Geometry ◽

Polynomial Equations ◽

Systems Of Polynomial Equations

On q-th Derivative of Vector Bundles

Nagoya Mathematical Journal ◽

10.1017/s0027763000024211 ◽

1967 ◽

Vol 29 ◽

pp. 121-126

Author(s):

Akikuni Kato

Keyword(s):

Vector Bundle ◽

Vector Bundles ◽

Present Note ◽

Higher Order ◽

Enumerative Geometry ◽

Sheaf Theory ◽

Definition Of

In the present note we shall be concerned with the improvement of fundamental definitions in higher order enumerative geometry which has been recently given by W. F. Pohl. Pohl’s definition of q-th derivative of vector bundle is very complicated. We shall give a simpler and more reasonable definition of the q-th derivative of vector bundle in terms of sheaf theory and simplify the proofs in [P]. We shall also give a definition of higher order singularity of map.

On the enumerative geometry of triangles

Mathematika ◽

10.1112/s0025579300002060 ◽

1959 ◽

Vol 6 (2) ◽

pp. 158-164 ◽

Cited By ~ 4

Author(s):

J. A. Tyrrell

Keyword(s):

Enumerative Geometry