Results 1 to 10 of about 31,771 (194)
Local-global principle for quadratic forms over fraction fields of two-dimensional henselian domains [PDF]
, 2012 Let $R$ be a 2-dimensional normal excellent henselian local domain in which 2 is invertible and let $L$ and $k$ be respectively its fraction field and residue field.
Hu, Yong
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Quadratic forms and linear algebraic groups [PDF]
, 2009 Topics discussed at the workshop Quadratic Forms and Linear Algebraic Groups included besides the algebraic theory of quadratic and Hermitian forms and their Witt groups several aspects of the theory of linear algebraic groups and homogeneous varieties ...
Harbater, David +2 more
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Heights and quadratic forms: on Cassels' theorem and its generalizations [PDF]
, 2012 In this survey paper, we discuss the classical Cassels' theorem on existence of small-height zeros of quadratic forms over Q and its many extensions, to different fields and rings, as well as to more general situations, such as existence of totally ...
Fukshansky, Lenny
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Fibers of flat morphisms and Weierstrass preparation theorem [PDF]
, 2014 We characterize flat extensions of commutative rings satisfying the Weierstrass preparation theorem. Using this characterization we prove a variant of the Weierstrass preparation theorem for rings of functions on a normal curve over a complete local ...
Dedicated Professor +2 more
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A cohomological Hasse principle over two-dimensional local rings
, 2016 Let $K$ be the fraction field of a two-dimensional henselian, excellent, equi-characteristic local domain. We prove a local-global principle for Galois cohomology with finite coefficients over $K$.
Hu, Yong
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Identities for field extensions generalizing the Ohno-Nakagawa relations [PDF]
, 2015 In previous work, Ohno conjectured, and Nakagawa proved, relations between the counting functions of certain cubic fields. These relations may be viewed as complements to the Scholz reflection principle, and Ohno and Nakagawa deduced them as consequences
Cohen +12 more
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Remarks on the Milnor conjecture over schemes [PDF]
, 2011 The Milnor conjecture has been a driving force in the theory of quadratic forms over fields, guiding the development of the theory of cohomological invariants, ushering in the theory of motivic cohomology, and touching on questions ranging from sums of ...
Auel, Asher
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The Pythagoras number and the $u$-invariant of Laurent series fields in several variables
, 2015 We show that every sum of squares in the three-variable Laurent series field $\mathbb{R}((x,y,z))$ is a sum of 4 squares, as was conjectured in a paper of Choi, Dai, Lam and Reznick in the 1980's.
Hu, Yong
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Supermanifolds, Rigid Manifolds and Mirror Symmetry [PDF]
, 1994 By providing a general correspondence between Landau-Ginzburg orbifolds and non-linear sigma models, we find that the elusive mirror of a rigid manifold is actually a supermanifold.
Alvarez-Gaumé +36 more
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, 2013 For a binary quadratic form $Q$, we consider the action of $\mathrm{SO}_Q$ on a two-dimensional vector space. This representation yields perhaps the simplest nontrivial example of a prehomogeneous vector space that is not irreducible, and of a coregular ...
Ariel Shnidman +6 more
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