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001 9783110640694
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006 m|||||o||d||||||||
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008 260303s2022 gw fo d z eng d
020 _a9783110640694
024 7 _a10.1515/9783110640694
_2doi
035 _a(DE-B1597)507695
035 _z(OCoLC)1298722887
040 _aDE-B1597
_beng
_cDE-B1597
_erda
041 0 _aeng
044 _agw
_cDE
072 7 _aMAT
_x002010
_2bisacsh
072 7 _aMAT
_x012000
_2bisacsh
072 7 _aMAT
_x012010
_2bisacsh
100 1 _aSimis, Aron,
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 0 0 _aGraded Algebras in Algebraic Geometry
_cAron Simis, Zaqueu Ramos.
264 1 _aBerlin
_aBoston
_bDe Gruyter,
_c[2022]
264 4 _c©2022
300 _a1 online resource (XVI, 448 p.)
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 0 _aDe Gruyter Expositions in Mathematics ,
_x0938-6572 ;
_v70
505 0 0 _tFrontmatter --
_tAcknowledgments --
_tForeword --
_tContents --
_t1 Geometric motivation --
_t2 Graded algebras --
_t3 Rational maps, I --
_t4 Rational maps, II --
_t5 The gradient ideal --
_t6 Cremona transformations, I --
_t7 Cremona transformations, II --
_t8 Steps in elimination --
_t9 The Gauss map --
_t10 Tangent varieties --
_t11 Embedded joins and secants --
_t12 Aluffi algebras --
_tBibliography --
_tIndex
506 0 _arestricted access
_uhttp://purl.org/coar/access_right/c_16ec
_fonline access with authorization
_2star
520 _aThe objective of this book is to look at certain commutative graded algebras that appear frequently in algebraic geometry. By studying classical constructions from geometry from the point of view of modern commutative algebra, this carefully-written book is a valuable source of information, offering a careful algebraic systematization and treatment of the problems at hand, and contributing to the study of the original geometric questions. In greater detail, the material covers aspects of rational maps (graph, degree, birationality, specialization, combinatorics), Cremona transformations, polar maps, Gauss maps, the geometry of Fitting ideals, tangent varieties, joins and secants, Aluffi algebras. The book includes sections of exercises to help put in practice the theoretic material instead of the mere complementary additions to the theory.
530 _aIssued also in print.
532 8 _aThe accessibility of this resources in unknown or unassessed.
538 _aMode of access: Internet via World Wide Web.
545 _aAron Simis, Federal University of Pernambuco, Brazil; Zaqueu Alves Ramos, Cidade Universitária Prof. Aloísio Campo, Brazil.
546 _aIn English.
588 0 _aDescription based on online resource; title from PDF title page (publisher's Web site, viewed March 03 2026)
650 7 _aMATHEMATICS / Algebra / Abstract.
_2bisacsh
650 7 _aMATHEMATICS / Geometry / General.
_2bisacsh
650 7 _aMATHEMATICS / Geometry / Algebraic.
_2bisacsh
653 0 _aAlgebraische Geometrie
653 0 _aGraduierter Modul
653 0 _aGraduierter Ring
653 0 _aKommutative Algebra
653 0 _aSchnitt <Mathematik>
700 1 _aRamos, Zaqueu,
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
773 0 8 _iTitle is part of eBook package:
_dDe Gruyter
_tDG Plus DeG Package 2022 Part 1
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856 4 2 _3Cover
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