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GROMOV-WITTEN INVARIANTS AND QUANTUM COHOMOLOGY OF GRASSMANNIANS
GROMOV-WITTEN INVARIANTS QUANTUM COHOMOLOGY
2015/12/17
This is the written version of my ˉve lectures at the Banach Center
mini-school on `Schubert Varieties', in Warsaw, Poland, May 18{22, 2003.
THE IDEAL OF RELATIONS FOR THE RING OF INVARIANTS OF n POINTS ON THE LINE
RELATIONS FOR THE RING INVARIANTS OF n POINTS THE LINE
2015/10/14
The ring of projective invariants of n ordered points on the projective line is one of the most basic and earliest studied examples in Geometric Invariant Theory. It is a remarkable fact and the point...
The ring of projective invariants of n ordered points on the projective line is one of the most
basic and earliest studied examples in Geometric Invariant Theory. It is a remarkable fact and the poin...
Local invariants on quotient singularities and a genus formula for weighted plane curves
Local invariants quotient singularities genus formula weighted plane curves Algebraic Geometry
2012/6/30
In this paper we extend the concept of Milnor fiber and Milnor number of a curve singularity allowing the ambient space to be a quotient surface singularity. A generalization of the local {\delta}-inv...
Invariants of Topological Relative Right Equivalences
function germ integral closure Bruce-Roberts number
2012/4/17
The constancy of the Milnor number has several characterizations which were summarized by Greuel in 1986. This paper presents a study of these characterizations in the case of families of functions wi...
Motivic Donaldson-Thomas invariants and McKay correspondence
Motivic Donaldson-Thomas invariants McKay correspondence Algebraic Geometry
2011/9/29
Abstract: Let $G\subset SL_2(C)\subset SL_3(C)$ be a finite group. We compute motivic Pandharipande-Thomas and Donaldson-Thomas invariants of the crepant resolution $Hilb^G(C^3)$ of $C^3/G$ generalizi...
Motivic Donaldson-Thomas invariants of the conifold and the refined topological vertex
Motivic Donaldson-Thomas invariants refined topological vertex Algebraic Geometry
2011/9/20
Abstract: We compute the motivic Donaldson-Thomas theory of the resolved conifold, in all chambers of the space of stability conditions of the corresponding quiver. The answer is a product formula who...
On Rees algebras and invariants for singularities over perfect fields
Rees algebras Integral closure Singularities Commutative Algebra
2011/8/31
Abstract: This purpose of this paper is to show how Rees algebras can be applied in the study of singularities embedded in smooth schemes over perfect fields. In particular, we will study situations i...
On some curve singularity invariants and reductions
adeles motivic integration reduction of algebraic curves zeta functions
2011/8/24
Abstract: This paper deals with the study of the behaviour of the value semigroup of a curve singularity define over a global field reduced modulo a maximal ideal. We also define a global zeta functio...
Direct calculation of higher rank invariants of stable pairs using the Joyce machinery of stack functions
higher rank invariants Direct calculation Joyce machinery stack functions
2011/8/23
Abstract: The rank 2 invariants of stable pairs over a Calabi-Yau threefold were computed in (arXiv:1101.2252) using the wall-crossing formula of Joyce-Song and Kontsevich-Soibelman. The computations ...