F-isocrystal and syntomic regulators via hypergeometric functions

Abstract

We give an explicit description of a syntomic regulator of a certain class of fibrations which we call hypergeometric fibrations. The description involves hypergeometric functions.

47 pages; Section 8 is revised and some errors are corrected

References in corpus (1)

• Regulators of K_2 of Hypergeometric Fibrations

Cited by in corpus (2)

• New p-adic hypergeometric functions and syntomic regulators
• An algorithm of computing special values of Dwork's p-adic hypergeometric functions in polynomial time