SRFL News : Meaning Minimum of Language For the Supposition of KARCEVSKIJ Sergej 2011

Friday, 7 March 2025

Stable and Unstable of Language

For the Supposition of KARCEVSKIJ Sergej

Meaning Minimum of Language

TANAKA Akio

Ocotober 5, 2011

[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

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.

Projective algebraic variety is complete.

◊

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]

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