4 papers
On the injective self-maps of algebraic varieties
Indranil Biswas, Nilkantha Das
A conjecture of Miyanishi says that an endomorphism of an algebraic variety, defined over an algebraically closed field of characteristic zero, is an automorphism if the endomorphi…
Enumeration of Rational Cuspidal Curves via the WDVV equation
Indranil Biswas, Apratim Choudhury, Ritwik Mukherjee +1
We give a conjectural formula for the characteristic number of rational cuspidal curves in the projective plane by extending the idea of Kontsevich's recursion formula (namely, pul…
Gromov-Witten invariants in family and quantum cohomology
Indranil Biswas, Nilkantha Das, Jeongseok Oh +1
A moduli space of stable maps to the fibers of a fiber bundle is constructed. The new moduli space is a family version of the classical moduli space of stable maps to a non-singula…
On a fibre bundle version of the Caporaso-Harris formula
Indranil Biswas, Apratim Choudhury, Nilkantha Das +1
The Caporaso-Harris formula gives a recursive algorithm to enumerate delta nodal degree d curves in P^2. The recursion is obtained in terms of curves of lower degree that are tange…