586 citations
- Centre National de la Recherche ScientifiqueFR8 papers
- University of California, BerkeleyUS7 papers
- Canadian Institute for Theoretical AstrophysicsCA5 papers
- University of Notre DameUS5 papers
- California Institute of TechnologyUS4 papers
- The University of Texas at AustinUS4 papers
- University of Southern CaliforniaUS4 papers
- Engineering Systems (United States)US3 papers
- Laboratoire Charles FabryFR3 papers
- Laboratoire de Probabilités et Modèles AléatoiresFR3 papers
- Massachusetts Institute of TechnologyUS3 papers
- Princeton UniversityUS3 papers
8 papers · 1 filter
Some Remarks on the Jacobian Conjecture and Connections with Hilbert's Irreducibility Theorem
Richard J. Lipton, Evangelos Markakis
We make two observations regarding the invertibility of Keller maps. i.e., polynomial maps for which the determinant of their Jacobian matrix is identically equal to 1. In our firs…
Intersection pairings on singular moduli spaces of bundles over a Riemann surface and their partial desingularisations
Lisa C. Jeffrey, Young-Hoon Kiem, Frances C. Kirwan +1
This paper studies intersection theory on the compactified moduli space M(n,d) of holomorphic bundles of rank n and degree d over a fixed compact Riemann surface of genus g > 1 whe…
Mirkovic-Vilonen cycles and polytopes
Joel Kamnitzer
We give an explicit description of the Mirkovic-Vilonen cycles on the affine Grassmannian for arbitrary complex reductive groups. We also give a combinatorial characterization of t…
Desingularization of toric and binomial varieties
Edward Bierstone, Pierre D. Milman
We give a combinatorial algorithm for equivariant embedded resolution of singularities of a toric variety defined over a perfect field. The algorithm is realized by a finite succes…
Pseudofunctorial behavior of Cousin complexes on formal schemes
Joseph Lipman, Suresh Nayak, Pramathanath Sastry
On a suitable category of formal schemes equipped with codimension functions we construct a canonical pseudofunctor (-)^# taking values in the corresponding categories of Cousin co…
Hyperpolygon spaces and their cores
Megumi Harada, Nicholas J. Proudfoot
Given an n-tuple of positive real numbers, Konno defines an algebraic variety called a hyperpolygon space, a hyperkahler analogue of the Kahler variety parametrizing spacial polygo…