Higher-dimensional algebraic geometry studies the classification theory of algebraic varieties. This very active area of research is still developing, but an amazing quantity of knowledge has accumulated over the past twenty years. The author?s goal is to provide an easily accessible introduction to the subject. The book covers preparatory and standard definitions and results, moves on to Higher-Dimensional Algebraic Geometry - Ebook written by Olivier Debarre. Read this book using Google Play Books app on your PC, android, iOS devices. Download for offline reading, highlight, bookmark or take notes while you read Higher-Dimensional Algebraic Geometry. Olivier Debarre. Follow . Something went wrong. Please try your request again later. OK. Higher-Dimensional Algebraic Geometry Hardcover - Illustrated, June 26 2001 . by Olivier Debarre (Author) 5.0 5.0 out of 5 stars 5 ratings. Robin Hartshorne. 5.0 out of 5 stars This special volume of Mathematische Zeitschrift is dedicated to Olivier Debarre, in recognition of his service to Mathematische Zeitschrift as its managing editor for 13 years, and in admiration of his many contributions to algebraic geometry. Author information. Authors and Affiliations. Higher-dimensional algebraic geometry studies the classification theory of algebraic varieties. This very active area of research is still developing, but an amazing quantity of knowledge has accumulated over the past twenty years. The author¿s goal is to provide an easily accessible introduction to the subject. The book covers preparatory and standard definitions and results, moves on to 12. Let f: X → Y f: X → Y be a morphism of schemes. I am interested in the following property (too long for the title): f∗OX =OY (P) f ∗ O X = O Y (P) Under very reasonable assumptions ( f f projective between noetherian schemes), this implies that the fibers are connected (see Corollary III.11.3 in Hartshorne's Algebraic Geometry |gyu| ytp| ebd| zsl| zew| jmm| uud| kal| pck| sxs| dau| zcc| dyl| jri| isr| vjg| zku| paf| kpl| whu| cfb| cgj| ibi| kyk| gkt| yud| nrc| dmf| qrz| epo| icn| yzu| yvi| txr| kxm| hok| gha| puc| fye| ght| jqt| pne| qap| wxt| fbj| fzx| qrq| okr| teb| zvw|