dt - divisor

This paper focuses on the interplay between the intersection theory and the Teichmüller dynamics on the moduli space of curves… (More)

Binary division is basically a procedure to determine how many times the divisor D divides the dividend B thus resulting in the… (More)

Derived categories possibly give a new significant invariant for algebraic varieties. In particular, when the caninical line… (More)

We consider very short sums of the divisor function in arithmetic progressions prime to a fixed modulus and show that “on average… (More)

Abstract. We calculate the triple correlations for the truncated divisor sum λR(n). The λR(n)’s behave over certain averages just… (More)

For any smooth complex projective variety X and smooth very ample hypersurface Y ⊂ X, we develop the technique of genus zero… (More)

F1(M0,n) was previously conjectured by Fulton, whence our choice of notation. Special cases of F1(M0,n) are known (see… (More)

Hara [Ha3] and Smith [Sm2] independently proved that in a normal Q-Gorenstein ring of characteristic p ≫ 0, the test ideal… (More)

Introduction It is known essentially since Riemann that one can associate to any compact Riemann surface X an Abelian variety… (More)

This is an expanded version of the three lectures I gave at the Durham conference. The material is mainly expository, though… (More)