LEADER 03206nam 2200493 450 001 996418203203316 005 20211014140147.0 010 $a3-030-49864-6 024 7 $a10.1007/978-3-030-49864-1 035 $a(CKB)5590000000005429 035 $a(DE-He213)978-3-030-49864-1 035 $a(MiAaPQ)EBC6382658 035 $a(MiAaPQ)EBC6523232 035 $a(Au-PeEL)EBL6382658 035 $a(OCoLC)1202745914 035 $a(PPN)258872195 035 $a(EXLCZ)995590000000005429 100 $a20211014d2020 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aArithmetic geometry of logarithmic pairs and hyperbolicity of moduli spaces $ehyperbolicity in Montre?al /$fMarc-Hubert Nicole, editor 205 $a1st ed. 2020. 210 1$aCham, Switzerland :$cSpringer,$d[2020] 210 4$d©2020 215 $a1 online resource (IX, 247 p. 26 illus., 7 illus. in color.) 225 1 $aCRM Short Courses,$x2522-5200 311 $a3-030-49863-8 327 $aLectures on the Ax?Schanuel Conjecture -- Arithmetic Aspects of Orbifold Pairs -- The Lang?Vojta Conjectures on Projective Pseudo-Hyperbolic Varieties -- Hyperbolicity of Varieties of Log General Type. 330 $aThis textbook introduces exciting new developments and cutting-edge results on the theme of hyperbolicity. Written by leading experts in their respective fields, the chapters stem from mini-courses given alongside three workshops that took place in Montréal between 2018 and 2019. Each chapter is self-contained, including an overview of preliminaries for each respective topic. This approach captures the spirit of the original lectures, which prepared graduate students and those new to the field for the technical talks in the program. The four chapters turn the spotlight on the following pivotal themes: The basic notions of o-minimal geometry, which build to the proof of the Ax?Schanuel conjecture for variations of Hodge structures; A broad introduction to the theory of orbifold pairs and Campana's conjectures, with a special emphasis on the arithmetic perspective; A systematic presentation and comparison between different notions of hyperbolicity, as an introduction to the Lang?Vojta conjectures in the projective case; An exploration of hyperbolicity and the Lang?Vojta conjectures in the general case of quasi-projective varieties. Arithmetic Geometry of Logarithmic Pairs and Hyperbolicity of Moduli Spaces is an ideal resource for graduate students and researchers in number theory, complex algebraic geometry, and arithmetic geometry. A basic course in algebraic geometry is assumed, along with some familiarity with the vocabulary of algebraic number theory. 410 0$aCRM Short Courses,$x2522-5200 606 $aGeometry, Algebraic 615 0$aGeometry, Algebraic. 676 $a516.35 702 $aNicole$b Marc-Hubert 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996418203203316 996 $aArithmetic geometry of logarithmic pairs and hyperbolicity of moduli spaces$91887566 997 $aUNISA