×

Algebraic geometry between tradition and future. An Italian perspective. Proceedings of the INdAM workshop, Rome, Italy, December 6–8, 2021. (English) Zbl 1516.14003

Springer INdAM Series 53. Singapore: Springer (ISBN 978-981-19-8280-4/hbk; 978-981-19-8283-5/pbk; 978-981-19-8281-1/ebook). vii, 374 p. (2023).

Show indexed articles as search result.

Publisher’s description: An incredible season for algebraic geometry flourished in Italy between 1860, when Luigi Cremona was assigned the chair of Geometria Superiore in Bologna, and 1959, when Francesco Severi published the last volume of the treatise on algebraic systems over a surface and an algebraic variety. This century-long season has had a prominent influence on the evolution of complex algebraic geometry – both at the national and international levels – and still inspires modern research in the area. “Algebraic geometry in Italy between tradition and future” is a collection of contributions aiming at presenting some of these powerful ideas and their connection to contemporary and, if possible, future developments, such as Cremonian transformations, birational classification of high-dimensional varieties starting from Gino Fano, the life and works of Guido Castelnuovo, Francesco Severi’s mathematical library, etc. The presentation is enriched by the viewpoint of various researchers of the history of mathematics, who describe the cultural milieu and tell about the bios of some of the most famous mathematicians of those times.
The articles of this volume will be reviewed individually.
Indexed articles:
Bini, Gilberto, Introduction, 1-3 [Zbl 1535.14004]
Fontanari, Claudio; Gattei, Stefano, Francesco Severi’s mathematical library, 5-57 [Zbl 1532.14004]
Guerraggio, Angelo, Francesco Severi and the fascist regime, 59-74 [Zbl 1532.14007]
Lugaresi, Maria Giulia, Fabio Conforto (1909–1954): his scientific and academic career at the University of Rome, 75-93 [Zbl 1532.14008]
Giacardi, Livia, Alessandro Terracini (1889–1968): teaching and research from the university years to the racial laws, 95-119 [Zbl 1532.14005]
Andreatta, Marco, Higher-dimensional geometry from Fano to Mori and beyond, 121-136 [Zbl 1532.14075]
Giacardi, Livia; Luciano, Erika; Scalambro, Elena, Gino Fano (1871–1952), 137-189 [Zbl 1532.14006]
Verra, Alessandro, From Enriques surface to Artin-Mumford counterexample, 191-217 [Zbl 1532.14011]
Ciliberto, Ciro, The theorem of completeness of the characteristic series: Enriques’ contribution, 219-233 [Zbl 1532.14023]
Sernesi, Edoardo, Severi, Zappa, and the characteristic system, 235-241 [Zbl 1532.14010]
Ciliberto, Ciro; Fontanari, Claudio, Two letters by Guido Castelnuovo, 243-270 [Zbl 1532.14002]
Fontanari, Claudio, Guido Castelnuovo and his heritage: geometry, combinatorics, and teaching, 271-279 [Zbl 1532.14003]
Rogora, Enrico, Guido Castelnuovo and his family, 281-303 [Zbl 1532.01001]
Palladino, Nicla; Vaccaro, Maria Alessandra, The genesis of the Italian school of algebraic geometry through the correspondence between Luigi Cremona and some of his students, 305-327 [Zbl 1532.14009]
Brigaglia, Aldo, Veronese, Cremona, and the mystical hexagram, 329-374 [Zbl 1532.14001]

MSC:

14-06 Proceedings, conferences, collections, etc. pertaining to algebraic geometry
00B25 Proceedings of conferences of miscellaneous specific interest
14-03 History of algebraic geometry
14Jxx Surfaces and higher-dimensional varieties
14Nxx Projective and enumerative algebraic geometry
01A55 History of mathematics in the 19th century
01A60 History of mathematics in the 20th century
01A61 History of mathematics in the 21st century
Full Text: DOI