74 citations · 86 across the 3 of their papers we have counts for
10 papers
Geometric Transitions and Mixed Hodge Structures
Duiliu-Emanuel Diaconescu, Ron Donagi, Tony Pantev
We formulate and prove a B-model disc level large N duality result for general conifold transitions between compact Calabi-Yau spaces using degenerations of Hodge structures.
Notes on gauging noneffective group actions
T. Pantev, E. Sharpe
In this paper we study sigma models in which a noneffective group action has been gauged. Such gauged sigma models turn out to be different from gauged sigma models in which an eff…
Torus fibrations, gerbes, and duality
Ron Donagi, Tony Pantev
Let X be a smooth elliptic fibration over a smooth base B. Under mild assumptions, we establish a Fourier-Mukai equivalence between the derived categories of two objects, each of w…
Hyperelliptic Szpiro inequality
F. Bogomolov, L. Katzarkov, T. Pantev
We generalize the classical Szpiro inequality to the case of a semistable family of hyperelliptic curves. We show that for a semistable symplectic Lefschetz fibration of hyperellip…
Spectral involutions on rational elliptic surfaces
Ron Donagi, Burt Ovrut, Tony Pantev +1
In this paper we describe a four dimensional family of special rational elliptic surfaces admitting an involution with isolated fixed points. For each surface in this family we cal…
Nonabelian mixed Hodge structures
Ludmil Katzarkov, Tony Pantev, Carlos Simpson
We propose a definition of ``nonabelian mixed Hodge structure'' together with a construction associating to a smooth projective variety and to a nonabelian mixed Hodge structur…