Computations in algebraic geometry with Macaulay 2. (English) Zbl 0973.00017
Algorithms and Computation in Mathematics 8. Berlin: Springer (ISBN 3-540-42230-7/hbk; 978-3-642-07592-6/pbk; 978-3-662-04851-1/ebook). xiii, 329 p. (2002).
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The articles of this volume will be reviewed individually.Indexed articles:
Sturmfels, Bernd, Ideals, varieties and Macaulay 2, 3-15 [Zbl 0994.13011]
Eisenbud, David, Projective geometry and homological algebra, 17-40 [Zbl 0994.13005]
Grayson, Daniel R.; Stillman, Michael E., Data types, functions, and programming, 41-53 [Zbl 1001.68202]
Smith, Gregory G., Teaching the geometry of schemes, 55-70 [Zbl 0994.14035]
Hoşten, Serkan; Smith, Gregory G., Monomial ideals, 73-100 [Zbl 0996.13009]
Sottile, Frank, From enumerative geometry to solving systems of polynomial equations, 101-129 [Zbl 0993.14020]
Avramov, Luchezar L.; Grayson, Daniel R., Resolutions and cohomology over complete intersections, 131-178 [Zbl 0994.13006]
Stillman, Michael; Sturmfels, Bernd; Thomas, Rekha, Algorithms for the toric Hilbert scheme, 179-214 [Zbl 0994.14036]
Decker, Wolfram; Eisenbud, David, Sheaf algorithms using the exterior algebra, 215-249 [Zbl 0994.14010]
Schreyer, Frank-Olaf; Tonoli, Fabio, Needles in a haystack: Special varieties via small fields, 251-279 [Zbl 0994.14037]
Walther, Uli, \(D\)-modules and cohomology of varieties, 281-323 [Zbl 0994.14034]
MSC:
| 00B15 | Collections of articles of miscellaneous specific interest |
| 13-06 | Proceedings, conferences, collections, etc. pertaining to commutative algebra |
| 14-06 | Proceedings, conferences, collections, etc. pertaining to algebraic geometry |
| 68-06 | Proceedings, conferences, collections, etc. pertaining to computer science |
| 13P10 | Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) |
| 68W30 | Symbolic computation and algebraic computation |
| 14Qxx | Computational aspects in algebraic geometry |
