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F-signature of pairs and the asymptotic behavior of Frobenius splittings
F-signature Cartier algebra F-pure F-regular splitting prime F-splitting ratio
2011/8/26
Abstract: We generalize $F$-signature to pairs $(R,D)$ where $D$ is a Cartier subalgebra on $R$ as defined by the first two authors. In particular, we show the existence and positivity of the $F$-sign...
We prove that all but finitely many Heegner points on a given modular elliptic curve (or, more generally, on a given quotient of the modular Jacobian variety J0(N)) are of infinite order in the Mordel...