semistable
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Semistable abelian variety — In mathematics, a semistable abelian variety in Diophantine geometry is an abelian variety defined over a global or local field with reduction modulo all primes of restricted type.For an Abelian variety A defined over a field F with ring of… … Wikipedia
Geometric invariant theory — In mathematics Geometric invariant theory (or GIT) is a method for constructing quotients by group actions in algebraic geometry, used to construct moduli spaces. It was developed by David Mumford in 1965, using ideas from the paper… … Wikipedia
Fermat's Last Theorem — is the name of the statement in number theory that:: It is impossible to separate any power higher than the second into two like powers,or, more precisely:: If an integer n is greater than 2, then the equation a^n + b^n = c^n has no solutions in… … Wikipedia
Modularity theorem — In mathematics the modularity theorem (formerly called the Taniyama–Shimura–Weil conjecture and several related names) states that elliptic curves over the field of rational numbers are related to modular forms. Andrew Wiles proved the modularity … Wikipedia
Glossary of arithmetic and Diophantine geometry — This is a glossary of arithmetic and Diophantine geometry in mathematics, areas growing out of the traditional study of Diophantine equations to encompass large parts of number theory and algebraic geometry. Much of the theory is in the form of… … Wikipedia
Conductor of an abelian variety — In mathematics, in Diophantine geometry, the conductor of an abelian variety defined over a local or global field F is a measure of how bad the bad reduction at some prime is. It is connected to the ramification in the field generated by the… … Wikipedia
Stable vector bundle — In mathematics, a stable vector bundle is a vector bundle that is stable in the sense of geometric invariant theory. They were defined by harvtxt|Mumford|1963table vector bundles over curvesA bundle W over an algebraic curve (or over a Riemann… … Wikipedia
p-adic Hodge theory — In mathematics, p adic Hodge theory is a theory that provides a way to classify and study p adic Galois representations of characteristic 0 local fields[1] with residual characteristic p (such as Qp). The theory has its beginnings in Jean Pierre… … Wikipedia
Goro Shimura — Born 23 February 1930 (1930 02 23) (age 81) Hamamatsu, Japan Nationality … Wikipedia
List of algebraic geometry topics — This is a list of algebraic geometry topics, by Wikipedia page. Contents 1 Classical topics in projective geometry 2 Algebraic curves 3 Algebraic surfaces 4 … Wikipedia