3 citations · 3 across the 1 of their papers we have counts for
3 papers
math.SG2008★ 3 cited
On the quantum homology algebra of toric Fano manifolds
Yaron Ostrover, Ilya Tyomkin
In this paper we study certain algebraic properties of the quantum homology algebra for the class of symplectic toric Fano manifolds. In particular, we examine the semi-simplicity…
math.AG2006★ 1 cited
On Severi varieties on Hirzebruch surfaces
Ilya Tyomkin
In the current paper we prove that any Severi variety on a Hirzebruch surface contains a unique component parameterizing irreducible nodal curves of the given genus in characterist…
math.AG2004
On Severi varieties and Moduli spaces of curves in arbitrary characteristic
Ilya Tyomkin
This paper has been withdrawn by the author due to the gaps in the proofs of Proposition 2.2 and Proposition 3.2