Po osvobození od poplatku nevznikne poplatková povinnost.

Literally, it breaks down like this:

• po = after
• osvobození = exemption / release
• od = from
• poplatku = fee (in the form required after od)

So po osvobození od poplatku means after exemption from the fee or once the fee exemption has been granted.

This is a very typical formal/legal Czech structure.

Because the preposition po usually requires the locative case when it means after in time.

The noun here is osvobození, which is a neuter verbal noun ending in -í. In the locative singular, this form is also osvobození.

So:

• nominative: osvobození
• locative after po: po osvobození

Even though the form looks the same, its grammatical role is different.

Osvobození is a verbal noun. It comes from the verb osvobodit / osvobodit se, meaning to free, to exempt, to release.

In legal or administrative Czech, verbal nouns like this are extremely common. They often correspond to English nouns ending in:

• -tion
• -ment
• -ing

So here:

• osvobodit od poplatku = to exempt from a fee
• osvobození od poplatku = exemption from a fee

It is genitive singular.

The preposition od normally takes the genitive and means from.

So:

• base form: poplatek = fee
• after od: od poplatku = from the fee

This is a fixed and very common pattern:

• osvobození od daně = exemption from tax
• osvobození od cla = exemption from customs duty
• osvobození od poplatku = exemption from a fee

Nevznikne is the future form of the perfective verb vzniknout, which means:

• to arise
• to come into existence
• to be created
• to occur

With negation, nevznikne means will not arise / will not come into existence.

In legal English, the whole phrase often corresponds to something like:

• no liability arises
• the obligation does not arise
• there will be no fee obligation

Because vzniknout is a perfective verb, its present-looking forms often have future meaning. So vznikne means will arise, not arises in an ordinary present sense.

Because poplatková povinnost is more precise legal language.

• poplatek = the fee itself
• poplatková povinnost = the obligation/liability to pay the fee

So the sentence is not only saying that no fee is paid, but more specifically that the legal duty to pay the fee does not come into existence.

This distinction matters in formal texts.

Poplatková is an adjective formed from poplatek.

• poplatek = fee
• poplatkový / poplatková / poplatkové = fee-related, concerning fees

Here it agrees with povinnost, which is feminine singular:

• poplatková povinnost

So literally it means something like:

• fee obligation
• obligation relating to fees
• in context, fee liability

In Czech, adjectives normally come before the noun they modify, just as in English.

So:

• poplatková povinnost = fee obligation

Changing the order to povinnost poplatková would sound unnatural here and, in normal prose, wrong.

Word order can vary in Czech for emphasis, but adjective + noun order is much more fixed than subject/object placement.

Grammatically, nevznikne is a future form, even though it looks similar to a present-tense form.

That is because vzniknout is a perfective verb. In Czech:

• imperfective present = true present
• perfective “present” form = future meaning

So:

• vzniká = is arising / arises
• vznikne = will arise

In legal or general statements, this future can also sound like a rule with general validity:

• If there is an exemption, no fee obligation arises.

So depending on translation style, English may use either will not arise or simply does not arise.

Because Czech often allows the subject to be omitted when it is not needed.

Here the main point is the event or result:

• poplatková povinnost nevznikne = the fee obligation will not arise

The subject is actually present: poplatková povinnost. There is no separate word like it or there because Czech does not need a dummy subject the way English often does.

English might say:

• No fee obligation arises
• A fee obligation does not arise
• There is no fee liability

Czech can express this more directly.

In this sentence, it clearly means after in a temporal or procedural sense.

The preposition po has several uses in Czech, but here the meaning is:

• after exemption from the fee
• once exempted from the fee

It does not mean according to here.

In legal-administrative language, po + locative often introduces what happens after some official act or status:

• po schválení = after approval
• po zaplacení = after payment
• po registraci = after registration

It is definitely formal official/legal Czech.

Several things make it sound administrative:

• the noun osvobození
• the verb nevznikne
• the phrase poplatková povinnost

In everyday conversation, a speaker would probably say something simpler, for example:

• Když jste od poplatku osvobozený, nic neplatíte.
• Po osvobození od poplatku už nemusíte poplatek platit.

But in legal texts, the original sentence is very natural and precise.

Yes. It is very close to a standard legal formula.

A useful way to understand it is:

• Po osvobození od poplatku = once fee exemption has been granted
• nevznikne poplatková povinnost = no fee liability arises

So the whole sentence expresses a legal consequence:

• After exemption from the fee, the obligation to pay the fee does not arise.

This kind of abstract, noun-heavy style is extremely common in laws, regulations, and administrative documents.