A Deterministic Polynomial-Time Algorithm for the First Bertini Theorem. III
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| 035 | |a (NATIONALLICENCE)springer-10.1007/s10958-015-2543-x | ||
| 100 | 1 | |a Chistov |D A. |u St.Petersburg Department of Steklov Mathematical Institute, St.Petersburg, Russia |4 aut | |
| 245 | 1 | 2 | |a A Deterministic Polynomial-Time Algorithm for the First Bertini Theorem. III |h [Elektronische Daten] |c [A. Chistov] |
| 520 | 3 | |a Consider a projective algebraic variety W that is an irreducible component of the set of all common zeros of a family of homogeneous polynomials of degrees less than d in n + 1 variables in zero characteristic. Consider a linear system on W given by homogeneous polynomials of degree d′. Under the conditions of the first Bertini theorem for W and this linear system, we show how to construct an irreducible divisor in general position from the statement of this theorem. This algorithm is deterministic and polynomial in (dd′)n and the size of the input. This work concludes a three-part series of papers. | |
| 540 | |a Springer Science+Business Media New York, 2015 | ||
| 773 | 0 | |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 209/6(2015-09-01), 1005-1019 |x 1072-3374 |q 209:6<1005 |1 2015 |2 209 |o 10958 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10958-015-2543-x |q text/html |z Onlinezugriff via DOI |
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| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10958-015-2543-x |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Chistov |D A. |u St.Petersburg Department of Steklov Mathematical Institute, St.Petersburg, Russia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 209/6(2015-09-01), 1005-1019 |x 1072-3374 |q 209:6<1005 |1 2015 |2 209 |o 10958 | ||
| 986 | |a SWISSBIB |b 560503091 | ||