4 citations · 12 across the 6 of their papers we have counts for
6 papers
An example of crepant resolution conjecture in two steps
Renzo Cavalieri, Gueorgui Todorov
We study the relation among the genus 0 Gromov-Witten theories of the three spaces , where $\mathcal{X}=[\c^2/\z_3]$, is…
On Effective log Iitaka Fibration for 3-folds and 4-folds
Gueorgui Todorov, Chenyang Xu
We prove the effectiveness of the log Iitaka fibration in Kodaira codimension two for varieties of dimension. In particular, we finish the proof of effective log Iitaka fibr…
Effective log Iitaka fibrations for surfaces and threefolds
Gueorgui Todorov
We prove an analogue of Fujino and Mori's ``bounding the denominators'' in the log canonical bundle formula (see also Prokhorov and Shokurov) for Kawamata log terminal pairs of rel…
D-branes, obstructed curves, and minimal model superpotentials
Gueorgui Todorov
In this short note we apply methods of Aspinwall-Katz to compute superpotentials of D-branes wrapped on more general obstructed rational curves in Calabi-Yau threefolds. We find an…
Evaluating tautological classes using only Hurwitz numbers
Aaron Bertram, Renzo Cavalieri, Gueorgui Todorov
Hurwitz numbers count ramified covers of a Riemann surface with prescribed monodromy. As such, they are purely combinatorial objects. Tautological classes, on the other hand, are d…
Pluricanonical maps for threefolds of general type
Gueorgui Todorov
In this paper we will prove that for a threefold of general type and large volume the second plurigenera is positive and the fifth canonical map is birational.