For the Supposition of KARCEVSKIJ Sergej
Meaning Minimum of Language
[Preparation]
,
is graded ring and integral domain.
For negative e, .
R's quotient field element is called homogenious when R's quotient field element is ratio f/g of homogenious element .
Its degree is defined by .
<Definition>
At R's quotient field, subfield made by degree 0's whole homogenious elements,
,
is expressed by .
For homogenious element ,
subring of field ,
,
is expressed by .
For graded ring,
,
algebraic variety that is quotient field that whole for homogenious element is gotten by gluing in common quotient field is expressed by Proj R.
Proj R of graded ring
,
,
is called projective algebraic variety.
<Conposition>
Projective algebraic variety is complete.
◊
<System>
Moduli of hypersurface,
,
is complete algebraic variety.
◊
,
is sum set of,
, .
◊
[Interpretation]
Word is expressed by,
.
Meaning minimum of word is expressed by,
, .
For meaning minimum,
refer to the next.
[References]
- Cell Theory / From Cell to Manifold / Tokyo June 2, 2007
- Holomorphic Meaning Theory 2 / Tokyo June 19, 2008
- Amplitude of meaning minimum / Complex Manifold Deformation Theory / Conjecture A4 / Tokyo December 17, 2008
- Gromov-Witten Invariant / Symplectic Language Theory / Tokyo February 27,2009
- Generating Function / Symplectic Language Theory / Tokyo March 17, 2009
October 5, 2011
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