most citedA `checkerboard' electronic crystal state in lightly hole-doped Ca_{2-x}Na_{x}CuO_{2}Cl_{2}

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math.AG2005

The set of toric minimal log discrepancies

Florin Ambro

We describe the set of minimal log discrepancies of toric log varities, and study its accumulation points.

math.AG2005

Asymptotically saturated toric algebras

Florin Ambro

We show the finite generation of certain invariant graded algebras defined on toric weak log Fano fibrations. These are the toric version of FGA algebras, recently introduced by Sh…

math.AG2005★ 26 cited

Instanton counting on blowup. II. -theoretic partition function

Hiraku Nakajima, Kota Yoshioka

We study Nekrasov's deformed partition function of 5-dimensional supersymmetric Yang-Mills theory compactified on a circle. Mathematically it is the generating function of the char…

math.AG2005

Combinatorial description of the roots of the Bernstein-Sato polynomials for monomial ideals

Nero Budur, Mircea Mustata, Morihiko Saito

We give a combinatorial description of the roots of the Bernstein-Sato polynomial of a monomial ideal using the Newton polyhedron and some semigroups associated to the ideal.

math.AG2005★ 2 cited

Roots of Bernstein-Sato polynomials for monomial ideals: a positive characteristic approach

Nero Budur, Mircea Mustata, Morihiko Saito

We describe the roots of the Bernstein-Sato polynomial of a monomial ideal using reduction mod p and invariants of singularities in positive chracteristic. We give in this setting…

math.AG2005★ 1 cited

Integrality of Gopakumar-Vafa Invariants of Toric Calabi-Yau Threefolds

Yukiko Konishi

The Gopakumar-Vafa invariants are numbers defined as certain linear combinations of the Gromov-Witten invariants. We prove that the GV invariants of a toric Calabi-Yau threefold ar…