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Workshop on Structures in Enumerative Geometry
Workshop Structures in Enumerative Geometry
2017/12/20
The purpose of the workshop is to bring together specialists to work on understanding the many-faceted mathematical structures underlying problems in enumerative geometry. Topics represented at the wo...
Introductory Workshop:Enumerative Geometry Beyond Numbers
Introductory Workshop Enumerative Geometry Beyond Numbers
2017/12/20
This workshop will consist of expository mini-courses and lectures introducing various aspects of modern enumerative geometry, among which: enumeration via intersection theory on moduli spaces of curv...
THE ENUMERATIVE GEOMETRY OF RATIONAL AND ELLIPTIC CURVES IN PROJECTIVE SPACE
ELLIPTIC CURVES PROJECTIVE SPACE
2015/7/14
We study the geometry of moduli spaces of genus 0 and 1 curves in Pn with
speci ed contact with a hyperplane H. We compute intersection numbers on these spaces that
correspond to the number of degre...
Enumerative Geometry on Enriques surfaces.
Some Real and Unreal Enumerative Geometry for Flag Manifolds
Build geometric shape numerical homotopy continuation algorithm
2014/12/29
We present a general method for constructing real solutions to some problems in enumerative geometry which gives lower bounds on the maximum number of real solutions. We apply this method to show that...
An Excursion from Enumerative Geometry to Solving Systems of Polynomial Equations with Macaulay 2
To solve the polynomial equations mathematics geometry cross theory
2014/12/29
Solving a system of polynomial equations is a ubiquitous problem in the applications of mathematics. Until recently, it has been hopeless to find explicit solutions to such systems, and mathematics ha...
Enumerative Geometry is concerned with the number of solutions to a structured system of polynomial equations, when the structure comes from geometry. Enumerative real algebraic geometry studies real ...
A Fourier-Mukai Approach to the Enumerative Geometry of Principally Polarized Abelian Surfaces
ideal sheaf Fourier-Mukai divisor abelian surface Hilbert scheme stable sheaf
2011/9/5
Abstract: We study twisted ideal sheaves of small length on an irreducible principally polarized abelian surface (T,l). Using Fourier-Mukai techniques we associate certain jumping schemes to such shea...
We use the "pearl" machinery in our previous work to study certain enumerative invariants associated to monotone Lagrangian submanifolds.
Modifications of Hodge bundles and enumerative geometry : the stable hyperelliptic locus. Part 1: semicompact type
Hodge bundles enumerative geometry stable hyperelliptic locus
2010/11/9
We compute, in terms of tautological classes, the fundamental class of the locus of stable hyperelliptic curves, i.e. the closure in the moduli space of stable curves of the locus of smooth hyperellip...
Enumerative and asymptotic analysis of a moduli space
Enumerative asymptotic analysis moduli space
2010/12/13
We study exact and asymptotic enumerative aspects of the Hilbert series of the cohomology
ring of the moduli space of stable pointed curves of genus zero. This manifold is related to the WDVV (Witten...