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math.AG2025
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…
math.AG2025
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…
math.AG2024
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…