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作者：Calegari, F; Emerton, M
作者单位：Harvard University; Northwestern University
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作者：Gaudron, É
作者单位：Communaute Universite Grenoble Alpes; Universite Grenoble Alpes (UGA); Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI)
摘要：This work falls within the theory of linear forms in logarithms over a connected and commutative algebraic group, defined over the field of algebraic numbers (Q) over bar. Let G be such a group. Let W be a hyperplane of the tangent space at the origin of G, defined over (Q) over bar, and u be a complex point of this tangent space, such that the image of u by the exponential map of the Lie group G(C) is an algebraic point. Then we obtain a lower bound for the distance between u and W circle tim...
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作者：Welschinger, JY
作者单位：Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI); Ecole Normale Superieure de Lyon (ENS de LYON)
摘要：We first build the moduli spaces of real rational pseudo-holomorphic curves in a given real symplectic 4-manifold. Then, following the approach of Gromov and Witten [3,19,11], we define invariants under deformation of real symplectic 4-manifolds. These invariants provide lower bounds for the number of real rational J-holomorphic curves which realize a given homology class and pass through a given real configuration of points.
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作者：Lee, JR; Naor, A
作者单位：University of California System; University of California Berkeley; Microsoft
