Definition of Unirational. Meaning of Unirational. Synonyms of Unirational

- parameterization exists, the variety is said to be unirational. Lüroth's theorem (see below) implies that unirational curves are rational. Castelnuovo's theorem...
- Castelnuovo's theorem also implies that any unirational complex surface is rational, because if a complex surface is unirational then its irregularity and plurigenera...
- In all of the previous cases, the moduli spaces can be found to be unirational, meaning there exists a dominant rational morphism P n → M g {\displaystyle...
- surfaces are unirational. They were named by Piotr Bl**** in 1977 after Oscar Zariski who used them in 1958 to give examples of unirational surfaces in...
- automorphism group is the group PSL2(11) of order 660 (Adler 1978). It is unirational but not a rational variety. Gross & Popescu (2001) showed that it is...
- is nonempty, then X is at least unirational over k, by Beniamino Segre and János Kollár. For k infinite, unirationality implies that the set of k-rational...
- positive characteristic is that a K3 surface may be unirational. Michael Artin observed that every unirational K3 surface over an algebraically closed field...
- positive characteristic. In particular, there are uniruled (and even unirational) surfaces of general type: an example is the surface xp+1 + yp+1 + zp+1...
- this description of the Brauer group to give the first example of a unirational variety X over C that is not stably rational (that is, no product of...
- Birational geometry Blowing up Resolution of singularities Rational variety Unirational variety Ruled variety Kodaira dimension Canonical ring Minimal model...