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02648aam a2200325 i 4500 001 6232EDE6440211EF98CC15ED37ECA4DB 003 SILO 005 20240717010108 008 240214s2024 nyu b 001 0 eng d 020 $a 1009400169 020 $a 9781009400169 035 $a (OCoLC)1421917576 040 $a QGE $b eng $e rda $c QGE $d OCLCQ $d YDX $d RCE $d OCLCO $d MNU $d YDX $d UAU $d SILO 050 4 $a QA564 F73 2024 100 1 $a Francis-Staite, Kelli $e author. 245 10 $a Câ-algebraic geometry with corners / $c Kelli Francis-Staite, Dominic Joyce. 246 13 $a C-infinity-algebraic geometry with corners 264 1 $a Cambridge, United Kingdom ; $b Cambridge University Press, $c 2024. 300 $a vi, 216 pages ; $c 24 cm 490 1 $a London Mathematical Society lecture note series ; $v 490 504 $a Includes bibliographical references and index. 505 00 $g 8. $t Further generalizations and applications. $g 2. $t Background on Câ-schemes -- $g 3. $t Background on manifolds with (g-)corners -- $g 4. $t (Pre) Câ-rings with corners -- $g 5. $t Câ-schemes with corners -- $g 6. $t Boundaries, corners, and the corner functor -- $g 7. $t Modules, and sheaves of modules -- $g 8. $t Further generalizations and applications. 520 $a Schemes in algebraic geometry can have singular points, whereas differential geometers typically focus on manifolds which are nonsingular. However, there is a class of schemes, 'Câ-schemes', which allow differential geometers to study a huge range of singular spaces, including 'infinitesimals' and infinite-dimensional spaces. These are applied in synthetic differential geometry, and derived differential geometry, the study of 'derived manifolds'. Differential geometers also study manifolds with corners. The cube is a 3-dimensional manifold with corners, with boundary the six square faces. This book introduces 'Câ-schemes with corners', singular spaces in differential geometry with good notions of boundary and corners. They can be used to define 'derived manifolds with corners' and 'derived orbifolds with corners'. These have applications to major areas of symplectic geometry involving moduli spaces of J-holomorphic curves. This work will be a welcome source of information and inspiration for graduate students and researchers working in differential or algebraic geometry. 650 0 $a Geometry, Algebraic. 700 1 $a Joyce, Dominic D., $e author. $4 aut 830 0 $a London Mathematical Society lecture note series ; $v 490. $x 0076-0552 941 $a 1 952 $l USUX851 $d 20240717025635.0 956 $a http://locator.silo.lib.ia.us/search.cgi?index_0=id&term_0=6232EDE6440211EF98CC15ED37ECA4DB 994 $a C0 $b IWAInitiate Another SILO Locator Search