A Gieseker type degeneration of moduli stacks of vector bundles on curves

作者：Kausz I^*

来源：Transactions of the American Mathematical Society, 2005, 357(12): 4897-4955.

DOI：10.1090/S0002-9947-04-03618-9

We construct a new degeneration of the moduli stack of vector bundles over a smooth curve when the curve degenerates to a singular curve which is irreducible with one double point. We prove that the total space of the degeneration is smooth and its special fibre is a divisor with normal crossings. Furthermore, we give a precise description of how the normalization of the special fibre of the degeneration is related to the moduli space of vector bundles over the desingularized curve.

• 出版日期2005