2 citations · 5 across the 8 of their papers we have counts for
9 papers
Iterated cotangent-difference integrals over totally real cyclotomic fields
Jin Cao, Hidekazu Furusho
We study iterated cotangent integrals with cyclotomic shifts and express their values along specified reference paths in terms of cyclotomic multiple zeta values. Differences of co…
Hasse-Witt invariants of Calabi-Yau varieties
Jin Cao, Mohamed Elmi, Hossein Movasati
We define the Hasse-Witt invariant of Calabi-Yau varieties in two different ways. The first method is through Cartier operator and the second method is through the theory of Calabi…
The equivalence of Friedlander-Mazur and standard conjectures for threefolds
Jin Cao, Wenchuan Hu
We show that the Friedlander-Mazur conjecture holds for a complex smooth projective variety X of dimension three implies the standard conjectures hold for X. This together with a r…
Gauss-Manin connection in disguise: Quasi Jacobi forms of index zero
Jin Cao, Hossein Movasati, Roberto Villaflor Loyola
We consider the moduli space of abelian varieties with two marked points and a frame of the relative de Rham cohomolgy with boundary at these points compatible with its mixed Hodge…
Gauss-Manin connection in disguise: Genus two curves
Jin Cao, Hossein Movasati, Shing-Tung Yau
We describe an algebra of meromorphic functions on the Siegel domain of genus two which contains Siegel modular forms for an arithmetic index six subgroup of the symplectic group a…
Topological and Geometric filtration for products
Jin Cao, Wenchuan Hu
We show that the Friedlander-Mazur conjecture holds for the product of an elliptic curve with some smooth projective variety of dimension 3. Moreover, we show that the Friedlander-…
Motives for an elliptic curve
Jin Cao
In this paper we describe the category of motives for an elliptic curve in the sense of Voevodsky as a derived category of dg modules over a commutative differential graded algebra…
Differential graded algebras over some reductive group
Jin Cao
We study the general properties of commutative differential graded algebras in the category of representations over a reductive algebraic group with an injective central cocharacte…
Torsion and divisibility for reciprocity sheaves and 0-cycles with modulus
Federico Binda, Jin Cao, Wataru Kai +1
The notion of modulus is a striking feature of Rosenlicht-Serre's theory of generalized Jacobian varieties of curves. It was carried over to algebraic cycles on general varieties b…