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001436386 001__ 1436386
001436386 003__ OCoLC
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001436386 019__ $$a1250079218$$a1253554663
001436386 020__ $$a9783030710217$$q(electronic bk.)
001436386 020__ $$a3030710211$$q(electronic bk.)
001436386 020__ $$z3030710203
001436386 020__ $$z9783030710200
001436386 0247_ $$a10.1007/978-3-030-71021-7$$2doi
001436386 035__ $$aSP(OCoLC)1250014969
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001436386 049__ $$aISEA
001436386 050_4 $$aQA564
001436386 08204 $$a516.3/5$$223
001436386 1001_ $$aCiliberto, C.$$q(Ciro),$$d1950-
001436386 24513 $$aAn undergraduate primer in algebraic geometry /$$cCiro Ciliberto.
001436386 260__ $$aCham :$$bSpringer,$$c2021.
001436386 300__ $$a1 online resource (xi, 327 pages)
001436386 336__ $$atext$$btxt$$2rdacontent
001436386 337__ $$acomputer$$bc$$2rdamedia
001436386 338__ $$aonline resource$$bcr$$2rdacarrier
001436386 347__ $$atext file
001436386 347__ $$bPDF
001436386 4901_ $$aUnitext,$$x2038-5722 ;$$vv. 129
001436386 504__ $$aIncludes bibliographical references and index.
001436386 5050_ $$a1 Affine and projective algebraic sets -- 2 Basic notions of elimination theory and applications -- 3 Zariski closed subsets and ideals in the polynomials ring -- 4 Some topological properties -- 5 Regular and rational functions -- 6 Morphisms -- 7 Rational maps -- 8 Product of varieties -- 9 More on elimination theory -- 10 Finite morphisms -- 11 Dimension -- 12 The Cayley form -- 13 Grassmannians -- 14 Smooth and singular points -- 15 Power series -- 16 Affine plane curves -- 17 Projective plane curves -- 18 Resolution of singularities of curves -- 19 Divisors, linear equivalence, linear series -- 20 The Riemann-Roch Theorem.
001436386 506__ $$aAccess limited to authorized users.
001436386 520__ $$aThis book consists of two parts. The first is devoted to an introduction to basic concepts in algebraic geometry: affine and projective varieties, some of their main attributes and examples. The second part is devoted to the theory of curves: local properties, affine and projective plane curves, resolution of singularities, linear equivalence of divisors and linear series, Riemann Roch and Riemann urwitz Theorems. The approach in this book is purely algebraic. The main tool is commutative algebra, from which the needed results are recalled, in most cases with proofs. The prerequisites consist of the knowledge of basics in affine and projective geometry, basic algebraic concepts regarding rings, modules, fields, linear algebra, basic notions in the theory of categories, and some elementary point et topology. This book can be used as a textbook for an undergraduate course in algebraic geometry. The users of the book are not necessarily intended to become algebraic geometers but may be interested students or researchers who want to have a first smattering in the topic. The book contains several exercises, in which there are more examples and parts of the theory that are not fully developed in the text. Of some exercises, there are solutions at the end of each chapter.
001436386 650_0 $$aGeometry, Algebraic.
001436386 650_6 $$aGéométrie algébrique.
001436386 655_7 $$aTextbooks.$$2fast$$0(OCoLC)fst01423863
001436386 655_7 $$aTextbooks.$$2lcgft
001436386 655_0 $$aElectronic books.
001436386 77608 $$iPrint version:$$aCiliberto, C. (Ciro), 1950-$$tUndergraduate primer in algebraic geometry.$$dCham : Springer, 2021$$z3030710203$$z9783030710200$$w(OCoLC)1237348634
001436386 830_0 $$aUnitext ;$$v129.
001436386 852__ $$bebk
001436386 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-71021-7$$zOnline Access$$91397441.1
001436386 909CO $$ooai:library.usi.edu:1436386$$pGLOBAL_SET
001436386 980__ $$aBIB
001436386 980__ $$aEBOOK
001436386 982__ $$aEbook
001436386 983__ $$aOnline
001436386 994__ $$a92$$bISE