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7 papers · 1 filter
Intersecting Psi-classes on tropical M_{0,n}
Michael Kerber, Hannah Markwig
We apply the tropical intersection theory developed by L. Allermann and J. Rau to compute intersection products of tropical Psi-classes on the moduli space of rational tropical cur…
An algorithm for lifting points in a tropical variety
Anders Nedergaard Jensen, Hannah Markwig, Thomas Markwig
The aim of this paper is to give a constructive proof of one of the basic theorems of tropical geometry: given a point on a tropical variety (defined using initial ideals), there e…
Virtual fundamental classes via dg-manifolds
Ionut Ciocan-Fontanine, Mikhail Kapranov
We construct virtual fundamental classes for dg-manifolds whose tangent sheaves have cohomology only in degrees 0 and 1. This condition is analogous to the existence of a perfect o…
On the Jacobian ring of a complete intersection
Alan Adolphson, Steven Sperber
Let f_1,...,f_r be homogeneous polynomials in K[x_1,...,x_n], K a field. Put F=y_1f_1+...+y_rf_r in K[x,y] and let I be the ideal of K[x,y] generated by the partials of F relative…
When is a Schubert variety Gorenstein?
Alexander Woo, Alexander Yong
A (normal) variety is Gorenstein if it is Cohen-Macualay and its canonical sheaf is a line bundle. This property, which measures the ``pathology'' of the singularities of a variety…
Gromov-Witten Invariants for Abelian and Nonabelian Quotients
Aaron Bertram, Ionut Ciocan-Fontanine, Bumsig Kim
We make precise conjectures relating the genus zero Gromov-Witten theory of a nonabelian GIT quotient X//G to that of the associated abelian quotient X//T by a maximal torus T in G…