2 citations · 2 across the 2 of their papers we have counts for
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Quotients of E^n by A_{n+1} and Calabi-Yau manifolds
Kapil Paranjape, Dinakar Ramakrishnan
We give a simple construction, starting with any elliptic curve E, of an n-dimensional Calabi-Yau variety of Kummer type (for any n>1), by considering the quotient Y of the n-fold…
Cycles over fields of transcendence degree one
Mark Green, Philip A. Griffiths, Kapil Hari Paranjape
We extend earlier examples provided by Schoen, Nori and Bloch to show that when a surface has the property that the kernel of its Albanese map is non-zero over the field of complex…
A Geometric characterization of Arithmetic Varieties
Kapil Hari Paranjape
A result of Belyi can be stated as follows. Every curve defined over a number field can be expressed as a cover of the projective line with branch locus contained in a rigid diviso…
Higher Abel-Jacobi Maps
Jishnu Biswas, Gautham Dayal, Kapil H. Paranjape +1
This paper forms the major portion of a talk given at the International Colloquium on Arithmetic, Algebra and Geometry at TIFR, Mumbai in Jan 2000. We look at the problem of detect…
The Hodge Conjecture for general Prym varieties
Indranil Biswas, Kapil H. Paranjape
The space of Hodge cycles of the general Prym variety is proved to be generated by its Neron-Severi group.
The Bogomolov--Pantev resolution, an expository account
Kapil Hari Paranjape
This is a paper based on a talk given at the Warwick Symposium on Algebraic Geometry in 1996. The resolution of singularities given by F. Bogomolov and A. Pantev (arXiv:math.AG/960…